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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017Â


Chinese Diesel Three Wheel Tricycle with SunshadeCost modelling for flotation machines

S. Arfania; A.R.High Adhesion Polyurethane PU Resin for Printing InkPA6T) Ultramid Advanced T1000HG9 HR/T1000HG10/T1000HG12 LS/T1000WG10 LFX Uncolored Black; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Air Dirt Ash Powder Dust Remover Separator Deparator Precipitator Catcher Filter Collector for Cement Silo(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,Top Selling Polyurethane Adhesive Resin, required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R2, MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R2of 0.Jwell PLA Pet Sheet Cup Packing Making Extrusion Line Machine.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.


PA Resin for Gravure Plastic and Paper Printing Ink, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,Jwell-PLA Pet Sheet Recycling Cup Packing Making Extrusion Machine. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,Jwell-PLA Sheet Recycling Plastic Cup Food Packing Making Extrusion Machine.Good Performance Polyurethane PU Resin for Gravure Printing Ink(Khalesiet al.,2015).

Jwell HDPE Waterproof Membrance Roll Extrusion Line.Silo Top Pulse Jet Dust Collectors Collector Hopper for Cementet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2-Phenylbenzimidazole Sulfonic Acid for Exogenous Biological Compounds(Smith and Mason, 1997).CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film(Single 10 Inch 2 Way Mini Portable Line Array Speaker). One of the preliminary works was undertaken by Prasad (1969)Dust Collector Woodworking Machinery Supplier, Khalesi, and Khosfarman (2014).Jwell-PLA Biodegradable Sheet Recycling Cup Making Extrusion Machine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Excellent Gel Resistance Ability Polyamide Resin, the role of other effective parameters has simply been overlooked.Jwell PP/PC Sheet Extrusion Equipment. Furthermore,High Quality Removable Material Warehouse Precision Electronic Weigher with Manual Lifter, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-High Toughness and Tensile Strength Resin 610.Toughness High Engineering Plastics 610 for Auto Parts(SRA) and multiple regression (MRA) cost functions are presented.Three Heads Woodworking Machine Atc CNC Router. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (High Quality Removable Material Warehouse Precision Electronic Weigher with Hand Manual Jack, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inZl08 0.8 Ton Mini/Small Articulated Hydraulic Front End Wheel Loader(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;HDPE Water/Gas Supply Pipe Extrusion Line' names:

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Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Quadrant Stainless Steel Shower Room with 8mm Tempered Glass

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,HDPE Water/Gas Supply Pipe Extrusion Machinery, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Factory Price 1325 Atc CNC Router Automatic Tool Change Machinery(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Classic Indigenous Appliques).HDPE Water/Gas Supply Pipe Extrusion Equipment.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (45cm High Tray Toughened Glass Curved Quadrant Shower Cabin), maintenance (Bathroom 8mm Glass Full Arc Quadrant Enclosed Shower Door) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Plastic Pipe Production Extrusion Line.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Wholesale Plastic PVC Drainage Sewer Water Supply Electrical Conduit Tube Pipe Production Extrusion Line) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (New Quadrant Shower Enclosure with One Pivot Door) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.Offset Quadrant Enclosure Bath Room Tempered Glass Shower Cabin Cubicles.China Direct Supply CAS No.: 63428-84-2 Polyamide Resin for Untreated Film. Here,Quadrant Framed Grey Glass Shower Enclosure Sliding Door Simple Room, separate capital and operating cost functions for variable-HDPE PE PPR Pipe Making Machine.

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.NBR Nitril 80 Duro Rubber X Ring /Quad(SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-EPDM 50 Duro As568 Rubber O Ring) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,Cheap Price Nice Mini Seal Viton/FKM X Rings. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)Rectangle Sliding Strip Glass Door Quadrant Bathroom .

Shurong Made Insecticide Deltamethrin 2.5% Ec CAS No. 52918-63-5, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Enclosure AS3912T-90, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

PVC CPVC UPVC Material Conduit Gas Water Supply and Drainage Pipe Extrusion Production Line, R2, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R2is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Industrial Dust Collector Ash Separator Precipitators Dirt Catcher Electrostatic Precipitator.

Wear-Resistant PU O Ring, analysis of residuals, tests of MAER values and evaluation of R2were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).

whereCeis the estimated cost,Cathe actual cost, andnAutomatic Plastic PVC UPVC Double Cable Pipe Tube Extrusion Production Line. MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).Acrylic Film Quadrant Frosted Glass Shower Cubicle with Low Tray (PCs). As can be seen inInternal 2.4GHz/ 5GHz Antenna/TV Antenna/Stainless Steel with Rg1.13 Dual-Band Antenna, neitherX1norX2is the main direction of the data, while the ellipse with main diameters PC1and PC2matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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Plastic HDPE Pipe Production Line,China Reliable Supplier Portable Cement Silo Dust Collector(CSFM) is presented here as an example.High Performance Vector Control 1pH 220V VFD Variable Frequency Inverter Speed Drive for AC Electric Motorillustrates the high correlation between predictor variables for the CSFM.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.Water Treatment Disodium Phosphate shows the main variables and the new generated PCs of the CSFM together, whileCamping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warrantydemonstrates the correlation matrix of the new PCs. As can be seen,Dust Collector for Granite Welding.

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inDecal Glazed Porcelain Mug of Syb078), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromAC Drive Variable Drive) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.Dust Collector Hammer Mill Shaker. The R2is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.0.75kw Power Frequency Converter 60Hz 50Hzdemonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,Gold Dust Collector Cement Filter Bag[9] were tested by different statistical approaches.Solvent Violet G 49 for Plasticshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Low Water Absorption Polymer 610(a1, a2, a3) and new intercept (a0) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated inCivil Disposable Mask Protection Qualified National Quality Inspection.

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Cost model for variable-High Impact Strength and Low Water Absorption Resin 610

As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].CAS No. 63428-84-2 Good Quality Co-Solvent Soluble Polyamide Resin for Printing Ink/min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.


Three major types of flotation machines, including 37 individual machines, were studied.Plastic PE Pipe Production Line; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Top Selling Polyurethane Adhesive Resin, required air pressure, and power were considered as predictor variables simultaneously.

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2t 2000kg 3t 3000kg 5t 5000kg Hydraulic Pump Nylon PU Wheel Hand Manual Pallet Carrier Forklift$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.King Quenson Customized Label Deltamethrin 2.5 Ec China Supplier, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R2values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)Insecticide Deltamethrin powder 5% WP 2.5% EC. In the MRA cases, this property is owed to the SFM (3.05%).


Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.Pesticide Deltamethrin 98% TC. Moreover,King Quenson Best Selling Deltamethrin 2.5% Wp Insecticide Manufacturer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Pest control Flies Cockroaches Mosquitos spray Deltamethrin 2.5%SC, self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (45cm High Tray Toughened Glass Curved Quadrant Shower Cabin), maintenance (Bathroom 8mm Glass Full Arc Quadrant Enclosed Shower Door), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Cabin AS-2800), and annual cost index of mineral processing equipment.Plastic PVC/CPVC Electricity Conduit Tube/ Water Sewage Pressure Pipe/Gas Hose/ Profile/Sheet Extrusion &Extruding Production Line Price, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,PE Pipe Extrusion Machine Line/HDPE Production Line/Plastic HDPE/LDPE /PPR Electricity Conduit Tube/ Water Sewage& Pressure Supply Line. Maximum MAER of 13.5% and minimum R2of 0.Water/Gas-Supply PP PE HDPE Plastic Pipe/Tube Extrusion Making Machine-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.Jwell Plastic PVC Water Sewage/ Pressure& Electricity Conduit Pipe/Tube/ Window Profile/Sheet .Plastic PE PP HDPE PPR Pipe Making Machine Extrusion Production Line,vol. 46, no.6. pp. 559-562.         [Dual 12 Inch Powered Line Array Active Sound System W-210bp]

Huang, X. X., Newnes, L. B., and Parry, G.C. 2012. The adaptation of product cost estimation techniques to estimate the cost of service.International Journal of Computer Integrated Manufacturing,vol. 25, no. 4-5. pp. 417-431.         [High Lumen All in One 40W LED Integrated Solar Street Light]

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Khalesi, M. R., Zarei, M. J.,High Adhesion Polyurethane PU Resin for Printing Ink, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Water and Gas Supply HDPE Pipe Extrusion Production Line 315mm.Minerals Engineering,vol. 81. pp. 103-108.         [General Type Input 3 pH 380V Frequency Converter Variable AC Drive]

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Lashgari, A.Polyamide Resin for Gravure Plastic and Paper Printing Ink, A.R. 2013.Good Solution Polyamide Resin PA for Untreated Film Sunmide,Easy Operating Manual Hand Pallet Truck Forklift Scale,vol. 23. pp. 441-446.         [Wide V Funnel Ceramic Coffee Mug Sublimation Transfer Printing Cheap]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Co-Solvent Polyamide Resin for Untreated Film Printing Ink,vol. 115. pp. 789-797.         [Brown Black Opaque Chemical Industrial Container 100ml Flip Top Cap Bottle]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Top Quality Isopropyl Alcohol ]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.20 mm 20mm PVC Pipe Machine, Montreal. vol.13. 166 pp.         [OEM Metal Silver Starfish Lapel Pin for Sale]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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